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    Discrete Random Variables — OCR A-Level Further Mathematics

    Teaching note based on the OCR specification.

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    Visual Resources

    1 diagram and illustration

    Key formulas for Expectation and Variance
    Key formulas for Expectation and Variance

    Interactive Diagrams

    1 interactive diagram to visualise key concepts

    Conceptual Flow Outline

    Start: Given a DRV
    ➔Find k?
    Find k?
    ➔"Yes"ΣP(X=x)=1
    ➔"No"Calculate E(X)
    ΣP(X=x)=1
    ➔Calculate E(X)
    Calculate E(X)
    ➔Calculate E(X²)
    Calculate E(X²)
    ➔Calculate Var(X) = E(X²) - [E(X)]²
    Calculate Var(X) = E(X²) - [E(X)]²
    ➔Linear Combination?
    Linear Combination?
    ➔"Yes"Apply E(aX+b) & Var(aX+b)
    ➔"No"End
    Apply E(aX+b) & Var(aX+b)
    ➔End

    Flowchart for solving a typical single-variable DRV problem.

    Your focus

    1. 5.02a Understand and be able to use discrete probability distributions.

    Discrete Random Variables exam tips